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Finding the Fourth Proportional to 135,694.78, 187,254.37 and 81,970.44

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Solution

The fourth proportional to 135,694.78, 187,254.37 and 81,970.44 is: 113,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,694.78 : 187,254.37 = 81,970.44 : x
  2. Step 2: Convert to fraction form
    135,694.78/187,254.37 = 81,970.44/x
  3. Step 3: Cross multiply
    135,694.78x = 187,254.37 × 81,970.44
  4. Step 4: Simplify right side
    135,694.78x = 15,349,323,100.82
  5. Step 5: Solve for x
    x = 15,349,323,100.82/135,694.78
  6. Step 6: Final answer
    x = 113,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.